5640978084120 has 384 divisors, whose sum is σ = 19261420738560. Its totient is φ = 1430134917120.

The previous prime is 5640978084113. The next prime is 5640978084151. The reversal of 5640978084120 is 214808790465.

It is a happy number.

5640978084120 is a `hidden beast` number, since 5 + 64 + 0 + 97 + 80 + 8 + 412 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 281153209 + ... + 281173271.

It is an arithmetic number, because the mean of its divisors is an integer number (50159949840).

Almost surely, 2^{5640978084120} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5640978084120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9630710369280).

5640978084120 is an abundant number, since it is smaller than the sum of its proper divisors (13620442654440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5640978084120 is a wasteful number, since it uses less digits than its factorization.

5640978084120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20607 (or 20600 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 5640978084120 in words is "five trillion, six hundred forty billion, nine hundred seventy-eight million, eighty-four thousand, one hundred twenty".